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Finding the Third Proportional to 51,929 and 112,970

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Solution

The third proportional to 51,929 and 112,970 is: 245,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,929 : 112,970 = 112,970 : x
  2. Step 2: Convert to fraction form
    51,929/112,970 = 112,970/x
  3. Step 3: Cross multiply
    51,929x = 112,970 × 112,970
  4. Step 4: Simplify right side
    51,929x = 12,762,220,900
  5. Step 5: Solve for x
    x = 12,762,220,900/51,929
  6. Step 6: Final answer
    x = 245,762.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.